DYNAMIC ANALYSIS OF A TYPE OF FINANCIAL RISK CONTAGION MODEL INVOLVING IMMUNITY PERIOD AND SELF-RESCUE  

含免疫期与救助的一类金融风险传染模型的动力学分析

作　　者：ZHANG Shuang-hui WANG Hai-xia XU Hui-ling 张双慧;王海侠;徐慧玲(南京理工大学数学与统计学院,南京210094)

机构地区：[1]College of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China

出　　处：《数学杂志》2024年第5期413-425,共13页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(12272062).

摘　　要：In this paper,we study the dynamics of a Susceptible-Exposed-Infectious-Recovered(SEIR)nancial risk contagion model with time delay.Using stability theory and Hopf bifurcation theory,equilibria stability and Hopf bifurcation are analyzed in detail.Based on the epidemic model,we improve it by taking prior prevention and self-rescue into consideration,conclude pre-ventive intensity and self-rescue capabilities e ect the number of infections.At the same time,the analytical conditions for Hopf bifurcation are obtained,and the relevant results are veri ed by numerical simulations.本文研究了-类具有时滞的易感~潜伏-感染-免疫(SEIR)金融风险传染模型的动力学性质。利用稳定性理论和Hopf分岔理论分析了平衡点的稳定性与Hopf分岔产生的解析条件.在已有传染病模型的基础上,本文综合考虑了监管机构的事先预防和个体自身的救助来改进模型,得出两者均能影响感染个体的数量.同时获得了系统产生Hopf分岔的解析条件,并用数值模拟加以验证。

关 键 词：nancial risk contagion SELF-RESCUE time delay Hopf bifurcation 

分 类 号：O193[理学—数学] F830.9[理学—基础数学]